تقرير
A model for the motion of a particle in a quantum background
| العنوان: | A model for the motion of a particle in a quantum background |
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| المؤلفون: | Noui, Karim |
| المصدر: | Phys.Rev.D78:105008,2008 |
| سنة النشر: | 2008 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | We are studying the dynamics of a one-dimensional field in a non-commutative Euclidean space. The non-commutative space we consider is the one that emerges in the context of three dimensional Euclidean quantum gravity: it is a deformation of the classical Euclidean space and the Planck length plays the role of the deformation parameter. The field is interpreted as a particle which evolves in a quantum background. When the dynamics of the particle is linear, the resulting motion is similar to the standard motion in the classical space. However, non-linear dynamics on the non-commutative space are different from the corresponding non-linear dynamics on the classical space. These discrepencies are interpreted as "quantum gravity" effects. Finally, we propose a background independent description of the propagation of the particle in the quantum geometry. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.78.105008 |
| الوصول الحر: | http://arxiv.org/abs/0807.0969Test |
| رقم الانضمام: | edsarx.0807.0969 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.78.105008 |
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